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Chapter 8: Q. 32 (page 541)

Find the area of the triangle. Round answer to two decimal places.

B=10掳,C=100掳,b=2

Short Answer

Expert verified

The area of the triangle is 10.66 square units.

Step by step solution

01

Step 1. Given information.

The given values are:

B=10掳C=100掳b=2

02

Step 2. Determine the third angle.

According to the angle sum property, the sum of all interior angles of a triangle is 180 degrees.

A+B+C=180掳A+10掳+100掳=180掳A=180掳-110掳A=70掳

03

Step 3. Determine the area of the triangle.

The area of a triangle is:

K=b2sinAsinC2sinB

Substitute the values in the above formula.

K=(2)2sin(70掳)sin(100掳)2sin(10掳)K=4(0.9397)(0.9848)2(0.1736)K=10.66148...K鈮�10.66

04

Step 4. Conclusion.

The area of the triangle is 10.66 square units.

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